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Finding the Fourth Proportional to 646,048.50, 891,545.97 and 359,561.70

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Solution

The fourth proportional to 646,048.50, 891,545.97 and 359,561.70 is: 496,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,048.50 : 891,545.97 = 359,561.70 : x
  2. Step 2: Convert to fraction form
    646,048.50/891,545.97 = 359,561.70/x
  3. Step 3: Cross multiply
    646,048.50x = 891,545.97 × 359,561.70
  4. Step 4: Simplify right side
    646,048.50x = 320,565,784,601.35
  5. Step 5: Solve for x
    x = 320,565,784,601.35/646,048.50
  6. Step 6: Final answer
    x = 496,194.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.